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The normal distribution, also known as the Gaussian distribution, has several key properties: 1. Symmetry: It is symmetric around its mean (μ), meaning the left and right sides of the distribution are mirror images. 2. Mean, Median, and Mode: These are all equal and located at the center of the distribution. 3. Bell-Shaped Curve: The graph of the normal distribution is bell-shaped and peaks at the mean. 4. Asymptotic: The tails approach the horizontal axis but never touch it. 5. Defined by Mean and Standard Deviation: Completely characterized by its mean (μ) and standard deviation (σ). 6. Empirical Rule: Approximately 68% of data falls within ±1σ, 95% within ±2σ, and 99.7% within ±3σ of the mean
A mixture containing 120 liters of milk and water has 35% of its volume as water. If 24 liters of pure water are added to this mixture, the difference i...
A 300 litres mixture of milk and water contains 50% milk. How much water should be added to the mixture to make the quantity of water 70% of the total m...
There is 135 litres of mixture of milk and water in a jar. The ratio of quantity of milk to water in the jar is 4:3, respectively. If ‘x’ litres of ...
A container initially held 8 liters of vinegar. After removing a certain amount of vinegar, 2.4 liters of water was added to the container. As a result,...
Mixture 'A' has only petrol and diesel in the ratio 5:4 respectively and mixture 'B has only petrol and diesel in the ratio 3:2 respectively. Mixtures '...
Two mixtures, 'A' and 'B', each consist of milk and water. Mixture 'A' is composed of __% water, with the remaining percentage being milk. Mixture 'B' c...
"In a mixture containing a total of 210 liters, the ratio of petrol to diesel is initially 3:2. A quantity 'p' liters of petrol and 1.5p liters of diese...
In a mixture of milk & water, 80 litres water is mixed due to which ratio changes from 3 : 4 to 1 : 3. Find initial quantity of mixture. (in litres)
Two equal vessels A and B contain 70% of milk and 60% of milk respectively and the remaining sugar. In which 30 kg of mixture is taken out from vessel A...
A mixture (milk and water) contains 40% milk and rest 192 litres water. How much milk should be added to the mixture to make the ratio of milk to water ...
